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Paper Information

Journal:   IRRIGATION SCIENCES AND ENGINEERING (JISE) (SCIENTIFIC JOURNAL OF AGRICULTURE)   SPRING 2017 , Volume 40 , Number 1 ; Page(s) 167 To 176.
 
Paper: 

A NOVEL METHOD FOR NUMERICAL SIMULATION OF GRADUALLY VARIED FLOW PROFILE BASED ON ADAPTIVE NEWTON RAPHSON METHOD

 
 
Author(s):  JAHANDAR MALEKABADI M., KALATEH F.*, HASSANZADEH Y.
 
* FACULTY OF CIVIL ENGINEERING, UNIVERSITY OF TABRIZ
 
Abstract: 

The basic equation of Gradually Varied Flow (GVF) describes the variation of water depth with flow process. Several methods have been developed for numerical solution of the water surface profile in GVF and one of the challenges of numerical integration is determining the appropriate integration spatial step size. In this paper a novel Adaptive Newton-Raphson method is developed for numerical solution of the GVF equation. In this method the spatial steps are determined by using error estimation during calculation, this procedure is smart and increases accuracy and speed of computation the water surface profile in GVF. Several examples were analyzed using the proposed method and compared with the results of previous researches and the accuracy of the proposed method was evaluated. The results indicate good accuracy of the proposed method in comparison with other methods. As shown in one of examples presented in the paper, the obtained results from 10 step of developed Adaptive Newton-Raphson method approximately equal with 90 step of standard direct step method.

 
Keyword(s): GRADUALLY VARIED FLOW, NEWTON RAPHSON METHOD, ADAPTIVE PATTERN, WATER SURFACE PROFILES, STEP SIZE
 
 
References: 
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Click to Cite.
APA: Copy

JAHANDAR MALEKABADI, M., & KALATEH, F., & HASSANZADEH, Y. (2017). A NOVEL METHOD FOR NUMERICAL SIMULATION OF GRADUALLY VARIED FLOW PROFILE BASED ON ADAPTIVE NEWTON RAPHSON METHOD. IRRIGATION SCIENCES AND ENGINEERING (JISE) (SCIENTIFIC JOURNAL OF AGRICULTURE), 40(1 ), 167-176. https://www.sid.ir/en/journal/ViewPaper.aspx?id=571027



Vancouver: Copy

JAHANDAR MALEKABADI M., KALATEH F., HASSANZADEH Y.. A NOVEL METHOD FOR NUMERICAL SIMULATION OF GRADUALLY VARIED FLOW PROFILE BASED ON ADAPTIVE NEWTON RAPHSON METHOD. IRRIGATION SCIENCES AND ENGINEERING (JISE) (SCIENTIFIC JOURNAL OF AGRICULTURE). 2017 [cited 2021May13];40(1 ):167-176. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=571027



IEEE: Copy

JAHANDAR MALEKABADI, M., KALATEH, F., HASSANZADEH, Y., 2017. A NOVEL METHOD FOR NUMERICAL SIMULATION OF GRADUALLY VARIED FLOW PROFILE BASED ON ADAPTIVE NEWTON RAPHSON METHOD. IRRIGATION SCIENCES AND ENGINEERING (JISE) (SCIENTIFIC JOURNAL OF AGRICULTURE), [online] 40(1 ), pp.167-176. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=571027.



 
 
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